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Finding the Fourth Proportional to 17,274.81, 25,908.24 and 8,389.80

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Solution

The fourth proportional to 17,274.81, 25,908.24 and 8,389.80 is: 12,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.81 : 25,908.24 = 8,389.80 : x
  2. Step 2: Convert to fraction form
    17,274.81/25,908.24 = 8,389.80/x
  3. Step 3: Cross multiply
    17,274.81x = 25,908.24 × 8,389.80
  4. Step 4: Simplify right side
    17,274.81x = 217,364,951.95
  5. Step 5: Solve for x
    x = 217,364,951.95/17,274.81
  6. Step 6: Final answer
    x = 12,582.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.